Search a number
-
+
9876440 = 235725039
BaseRepresentation
bin100101101011…
…001111011000
3200120202221002
4211223033120
510012021230
6551404132
7146643200
oct45531730
920522832
109876440
115636352
123383648
13207a562
141451400
15d01545
hex96b3d8

9876440 has 48 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 3385536.

The previous prime is 9876437. The next prime is 9876469. The reversal of 9876440 is 446789.

It is a happy number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9876394 and 9876403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560 + ... + 4479.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 29876440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9876440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

9876440 is an abundant number, since it is smaller than the sum of its proper divisors (15978760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9876440 is a wasteful number, since it uses less digits than its factorization.

9876440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 9876440 is about 3142.6803846398. The cubic root of 9876440 is about 214.5524492161.

The spelling of 9876440 in words is "nine million, eight hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5039 10078 20156 25195 35273 40312 50390 70546 100780 141092 176365 201560 246911 282184 352730 493822 705460 987644 1234555 1410920 1975288 2469110 4938220 9876440